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422888480 = 2557491769
BaseRepresentation
bin11001001101001…
…100010000100000
31002110201221221022
4121031030100200
51331224412410
6105543545012
713323331010
oct3115142040
91073657838
10422888480
111a7789413
12b975b168
13697c6691
1440241c40
15271d5455
hex1934c420

422888480 has 96 divisors (see below), whose sum is σ = 1145612160. Its totient is φ = 144506880.

The previous prime is 422888443. The next prime is 422888497. The reversal of 422888480 is 84888224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549536 + ... + 550304.

It is an arithmetic number, because the mean of its divisors is an integer number (11933460).

Almost surely, 2422888480 is an apocalyptic number.

422888480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572806080).

422888480 is an abundant number, since it is smaller than the sum of its proper divisors (722723680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422888480 is a wasteful number, since it uses less digits than its factorization.

422888480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The square root of 422888480 is about 20564.2524785123. The cubic root of 422888480 is about 750.6001004519.

The spelling of 422888480 in words is "four hundred twenty-two million, eight hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 491 560 769 982 1120 1538 1964 2455 3076 3437 3845 3928 4910 5383 6152 6874 7690 7856 9820 10766 12304 13748 15380 15712 17185 19640 21532 24608 26915 27496 30760 34370 39280 43064 53830 54992 61520 68740 78560 86128 107660 109984 123040 137480 172256 215320 274960 377579 430640 549920 755158 861280 1510316 1887895 2643053 3020632 3775790 5286106 6041264 7551580 10572212 12082528 13215265 15103160 21144424 26430530 30206320 42288848 52861060 60412640 84577696 105722120 211444240 422888480